(3h+4)(3h+5)=

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Solution for (3h+4)(3h+5)= equation: 


Simplifying
(3h + 4)(3h + 5) = 0

Reorder the terms:
(4 + 3h)(3h + 5) = 0

Reorder the terms:
(4 + 3h)(5 + 3h) = 0

Multiply (4 + 3h) * (5 + 3h)
(4(5 + 3h) + 3h * (5 + 3h)) = 0
((5 * 4 + 3h * 4) + 3h * (5 + 3h)) = 0
((20 + 12h) + 3h * (5 + 3h)) = 0
(20 + 12h + (5 * 3h + 3h * 3h)) = 0
(20 + 12h + (15h + 9h2)) = 0

Combine like terms: 12h + 15h = 27h
(20 + 27h + 9h2) = 0

Solving
20 + 27h + 9h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(5 + 3h)(4 + 3h) = 0


Subproblem 1
Set the factor '(5 + 3h)' equal to zero and attempt to solve:

Simplifying
5 + 3h = 0

Solving
5 + 3h = 0

Move all terms containing h to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + 3h = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3h = 0 + -5
3h = 0 + -5

Combine like terms: 0 + -5 = -5
3h = -5

Divide each side by '3'.
h = -1.666666667

Simplifying
h = -1.666666667

Subproblem 2
Set the factor '(4 + 3h)' equal to zero and attempt to solve:

Simplifying
4 + 3h = 0

Solving
4 + 3h = 0

Move all terms containing h to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + 3h = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3h = 0 + -4
3h = 0 + -4

Combine like terms: 0 + -4 = -4
3h = -4

Divide each side by '3'.
h = -1.333333333

Simplifying
h = -1.333333333
Solution
h = {-1.666666667, -1.333333333}

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